113523302540100 has 216 divisors, whose sum is σ = 332082864273888. Its totient is φ = 29942589644800.

The previous prime is 113523302539991. The next prime is 113523302540107. The reversal of 113523302540100 is 1045203325311.

It is a super-2 number, since 2×113523302540100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113523302540107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2201616919 + ... + 2201668481.

Almost surely, 2^{113523302540100} is an apocalyptic number.

113523302540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113523302540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166041432136944).

113523302540100 is an abundant number, since it is smaller than the sum of its proper divisors (218559561733788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113523302540100 is a wasteful number, since it uses less digits than its factorization.

113523302540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52435 (or 52321 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 113523302540100 its reverse (1045203325311), we get a palindrome (114568505865411).

The spelling of 113523302540100 in words is "one hundred thirteen trillion, five hundred twenty-three billion, three hundred two million, five hundred forty thousand, one hundred".